Similarities between Order isomorphism and Ordinal number
Order isomorphism and Ordinal number have 7 things in common (in Unionpedia): Bijection, Equivalence class, Equivalence relation, Isomorphism, Order type, Partially ordered set, Transitive relation.
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
Bijection and Order isomorphism · Bijection and Ordinal number ·
Equivalence class
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
Equivalence class and Order isomorphism · Equivalence class and Ordinal number ·
Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
Equivalence relation and Order isomorphism · Equivalence relation and Ordinal number ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
Isomorphism and Order isomorphism · Isomorphism and Ordinal number ·
Order type
In mathematics, especially in set theory, two ordered sets X,Y are said to have the same order type just when they are order isomorphic, that is, when there exists a bijection (each element matches exactly one in the other set) f: X → Y such that both f and its inverse are strictly increasing (order preserving i.e. the matching elements are also in the correct order).
Order isomorphism and Order type · Order type and Ordinal number ·
Partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
Order isomorphism and Partially ordered set · Ordinal number and Partially ordered set ·
Transitive relation
In mathematics, a binary relation over a set is transitive if whenever an element is related to an element and is related to an element then is also related to.
Order isomorphism and Transitive relation · Ordinal number and Transitive relation ·
The list above answers the following questions
- What Order isomorphism and Ordinal number have in common
- What are the similarities between Order isomorphism and Ordinal number
Order isomorphism and Ordinal number Comparison
Order isomorphism has 26 relations, while Ordinal number has 83. As they have in common 7, the Jaccard index is 6.42% = 7 / (26 + 83).
References
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